Question

Is the line through points P(–7, 2) and Q(7, –6) parallel to the line through points R(–1, –5) and S(–3, –1)? Explain.
a. No; one line has zero slope, the other has no slope.
b. Yes; the lines are both vertical.
c. Yes; the lines have equal slopes.
d. No; the lines have unequal slopes.

Answer 1

your job is to compute two slopes
do you know how to do that?

Answer 2

I tried but I cant figure out which number goes where. How do you do that?

Answer 3

\[\frac{y_2-y_1}{x_2-x_1}\] with say \(x_1=-7,y_1=2,x_2=7,y_2=-6\)

Answer 4

you get as a first step
\[\frac{-6-2}{7-(-7)}\] then compute via
\[\frac{-8}{14}=-\frac{4}{7}\]

Answer 5

then repeat for the second pair
if you get the same number, they are parallel

Answer 6

neither line is vertical , because the \(x\) coordinates are different for both of them, so forget that answer

Answer 7

So they ARE parallel, right?

Answer 8

i don't know i didn't compute the second one
let me check

Answer 9

\[\frac{-1-(-5)}{-3-(-1)}\] no i don't think you get the same answer

Answer 10

i get
\[\frac{4}{-2}=-2\]for the second one

Answer 11

Dang it, I did it wrong. Hold on. So its no because they have unequal slopes?

Answer 12

yes
the slopes are not equal, so not parallel

Answer 13

Thanks!

Answer 14

yw